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konstantin123 [22]
3 years ago
14

There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, repl

ace it, and then randomly select another card. What is the probability that the first card is an odd number and the second card is less than 5?
Mathematics
1 answer:
skelet666 [1.2K]3 years ago
8 0

Answer:

20% or 1/5.

Step-by-step explanation:

Out of ten cards, the chance of getting an odd number is of course 50% or 1/2 since half of them are odd and the other half are even. Then the chance of getting a card less than 5, or 1, 2, 3, or 4 is 40% or 2/5. Multiply these together and half of 2/5 is 1/5 so your answer is 1/5 or 20%.

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Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples
zheka24 [161]

Answer: a. 0.40   b. 0.23  c . 0.435   d . 0.25

Step-by-step explanation:

                                   melanin      content    Total

                                            high   low

moisture   high                     13      10                23

content    low                       47      30                77

 Total                                   60      40              <u> </u><u>100</u>

Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content.

a) Total skin samples has low melanin content = 10+30=40

P(A)=\dfrac{40}{100}=0.40

b) Total skin samples has high moisture content = 13+10=23

P(B) =\dfrac{23}{100}=0.23

c) A ∩ B =  Total skin samples has both low melanin content and high moisture content =10

P(A ∩ B) =\dfrac{10}{100}=0.10

Using conditional probability formula , P (A|B)=\dfrac{P(A\cap B)}{P(B)}

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d)  P (B|A)=\dfrac{P(A\cap B)}{P(A)}

P (B|A)=\dfrac{0.10}{0.40}=0.25

8 0
3 years ago
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Answer:

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Step-by-step explanation:

We first need to bring x up into the numerator. I will find common denominators by multiplying both sides by each denominator.

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Now I will solve the equation for x by subtracting 9x from both sides.

9x-9x+15=-3x-9x\\15=-12x

Then divide by the coefficient of x.

\frac{15}{-12}=\frac{-12x}{-12}

-\frac{5}{4} =x


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your friend claims that two isosceles triangles ABC and DEF are congruent if two corresponding sides are congruent. he explains
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